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AFRICACRYPT
2008
Springer
13 years 11 months ago
Twisted Edwards Curves
Abstract. This paper introduces “twisted Edwards curves,” a generalization of the recently introduced Edwards curves; shows that twisted Edwards curves include more curves over...
Daniel J. Bernstein, Peter Birkner, Marc Joye, Tan...
ARC
2009
Springer
142views Hardware» more  ARC 2009»
13 years 11 months ago
A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem
Abstract. This paper presents implementation results of a reconfigurable elliptic curve processor defined over prime fields GF(p). We use this processor to compare a new algorit...
Brian Baldwin, Richard Moloney, Andrew Byrne, Gary...
ASIACRYPT
2008
Springer
13 years 6 months ago
Twisted Edwards Curves Revisited
This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a ...
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...
LATINCRYPT
2010
13 years 2 months ago
Starfish on Strike
This paper improves the price-performance ratio of ECM, the elliptic-curve method of integer factorization. In particular, this paper constructs "a = -1" twisted Edwards ...
Daniel J. Bernstein, Peter Birkner, Tanja Lange
CHES
2010
Springer
132views Cryptology» more  CHES 2010»
13 years 5 months ago
Efficient Techniques for High-Speed Elliptic Curve Cryptography
In this paper, a thorough bottom-up optimization process (field, point and scalar arithmetic) is used to speed up the computation of elliptic curve point multiplication and report ...
Patrick Longa, Catherine H. Gebotys